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25005280 = 2551311193
BaseRepresentation
bin101111101100…
…0110011100000
31202001101210111
41133120303200
522400132110
62251541104
7422353456
oct137306340
952041714
1025005280
1113129923
12845a794
135246731
14346c9d6
1522dde8a
hex17d8ce0

25005280 has 48 divisors (see below), whose sum is σ = 59575824. Its totient is φ = 9917440.

The previous prime is 25005263. The next prime is 25005287. The reversal of 25005280 is 8250052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25005287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20364 + ... + 21556.

It is an arithmetic number, because the mean of its divisors is an integer number (1241163).

Almost surely, 225005280 is an apocalyptic number.

25005280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25005280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29787912).

25005280 is an abundant number, since it is smaller than the sum of its proper divisors (34570544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25005280 is a wasteful number, since it uses less digits than its factorization.

25005280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 25005280 is about 5000.5279721245. The cubic root of 25005280 is about 292.4223574571.

The spelling of 25005280 in words is "twenty-five million, five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1193 1310 2096 2386 2620 4192 4772 5240 5965 9544 10480 11930 19088 20960 23860 38176 47720 95440 156283 190880 312566 625132 781415 1250264 1562830 2500528 3125660 5001056 6251320 12502640 25005280